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We consider a continuous time linear multi inventory system with unknowndemands bounded within ellipsoids and controls bounded within ellipsoids orpolytopes. We address the problem of "-stabilizing the inventory since thisimplies some reduction of the inventory costs. The main results are certainconditions under which "-stabilizability is possible through a saturated linearstate feedback control. All the results are based on a Linear MatrixInequalities (LMIs) approach and on some recent techniques for the modeling andanalysis of polytopic systems with saturations.

Robust control of uncertain multi-inventory systems via Linear Matrix Inequality